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Finding the Third Proportional to 150,300 and 220,974

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Solution

The third proportional to 150,300 and 220,974 is: 324,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,300 : 220,974 = 220,974 : x
  2. Step 2: Convert to fraction form
    150,300/220,974 = 220,974/x
  3. Step 3: Cross multiply
    150,300x = 220,974 × 220,974
  4. Step 4: Simplify right side
    150,300x = 48,829,508,676
  5. Step 5: Solve for x
    x = 48,829,508,676/150,300
  6. Step 6: Final answer
    x = 324,880.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.